Abstract
Existing models of urban residential land use do not explicitly allow for the existence of vertical space, though they may easily be adjusted to do so. In this paper a residential land use model is presented that includes a third dimension and introduces the concept of a high-rise gradient derived in a manner not unrelated to the familiar rent and density gradients. The approach taken in our analysis is intended as an extension of existing models in which transportation costs exert an important influence and in which only the household sector is examined in detail. Our model is simple and idealized, and we omit characteristics of the housing market that should not be omitted when more complete models are developed.'
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